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Finding the Fourth Proportional to 106.03, 146.13 and 82.68

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Solution

The fourth proportional to 106.03, 146.13 and 82.68 is: 113.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.03 : 146.13 = 82.68 : x
  2. Step 2: Convert to fraction form
    106.03/146.13 = 82.68/x
  3. Step 3: Cross multiply
    106.03x = 146.13 × 82.68
  4. Step 4: Simplify right side
    106.03x = 12,081.86
  5. Step 5: Solve for x
    x = 12,081.86/106.03
  6. Step 6: Final answer
    x = 113.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.